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Finding the Third Proportional to 761,748 and 1,639,737

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Solution

The third proportional to 761,748 and 1,639,737 is: 3,529,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,748 : 1,639,737 = 1,639,737 : x
  2. Step 2: Convert to fraction form
    761,748/1,639,737 = 1,639,737/x
  3. Step 3: Cross multiply
    761,748x = 1,639,737 × 1,639,737
  4. Step 4: Simplify right side
    761,748x = 2,688,737,429,169
  5. Step 5: Solve for x
    x = 2,688,737,429,169/761,748
  6. Step 6: Final answer
    x = 3,529,694.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.